This document provides instructions on factoring quadratic trinomials of the form Ax^2 + Bx + C. It explains that trinomials of this form can be factored using the grouping method by finding two factors of the leading term times the constant term whose sum is the middle term. Examples are provided to demonstrate factoring trinomials with various coefficients of the leading term. Students are given practice problems to factor trinomials as well as determine when an expression is not factorable.

1. FACTORING QUADRATIC
TRINOMIALS OF THE FORM
AX2 + BX + C

2. FACTOR THE FOLLOWING TRINOMIALS.
1. x2 + 8x + 12
2. x2 + 36x + 35
3. x2 – 11x + 18
4. x2 – 7x – 18
5. x2 + 29x – 30

3. What if the numerical
coefficient of the leading term
of the trinomial is not 1, can
you still factor it? Are
trinomials of that form
factorable? Why?

4. WORK WITH YOUR SEATMATE…
FACTOR THE FOLLOWING POLYNOMIALS.
a.) 6z2 – 5z – 6
b.) 2k2 – 11k + 12
c.) 6h2 – h – 2
d.) 2x2 + 7x + 4

5. FACTOR.
1.) 2x2 – 15x + 7
2.) 5y2 + 21y + 4
3.) 9m2 – 5m – 4
4.) 8n2 – 11n – 10
5.) 6a2 – 23a + 7

6. GENERALIZATION:
To factor trinomials of the form Ax2 + Bx + C using the grouping
number method:
1. Find the product of the leading term and the last term.
2. Find the factors of the product whose sum is the middle term.
3. Rewrite the trinomial as a four- term expression by replacing
the middle term with the sum of the factors.
4. Group terms with common factors.
5. Factor the groups using the greatest common monomial factor.
6. Factor out the common binomial factor and write the remaining
factor as a sum or difference of the common monomial factors.

7. FACTOR EACH EXPRESSION AS COMPLETELY AS POSSIBLE.
IF THE EXPRESSION IS NOT FACTORABLE, WRITE PRIME.
1.) 3x2 – 4x – 7
2.) 3m2 + m – 2
3.) 3p2 – 7p + 2
4.) 9w2 – 5w – 4
5.) 4b2 + 8b + 4

8. ASSIGNMENT…
Answer Exercise B of Math
Time on page 5.
Boys - all even numbers
Girls - all odd numbers